Asked by kasdfa

Which expression is equivalent to StartFraction StartRoot 10 EndRoot Over RootIndex 4 StartRoot 8 EndRoot?
StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction
StartFraction RootIndex 4 StartRoot 20 EndRoot Over 2 EndFraction
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
StartFraction 100 Over 8 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Start with √10 = ∜100, so

√10 / ∜8 = ∜100 / ∜8 = ∜(100/8) = ∜(25/2).

Now note ∜200 / 2 = ∜200 · 1/2 = ∜200 · ∜(1/16) = ∜(200/16) = ∜(25/2).

Thus the equivalent expression is: StartFraction RootIndex 4 StartRoot 200 EndRoot Over 2 EndFraction.